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2049463441 = 17226632
BaseRepresentation
bin111101000101000…
…0101010010010001
312021211102112022101
41322022011102101
513144130312231
6535211040401
7101534103034
oct17212052221
95254375271
102049463441
11961961243
12492440101
132687a547c
1415629301b
15bedd3661
hex7a285491

2049463441 has 9 divisors (see below), whose sum is σ = 2177929531. Its totient is φ = 1928182432.

The previous prime is 2049463439. The next prime is 2049463447. The reversal of 2049463441 is 1443649402.

The square root of 2049463441 is 45271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1595603025 + 453860416 = 39945^2 + 21304^2 .

It is not a de Polignac number, because 2049463441 - 21 = 2049463439 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2049463441.

It is not an unprimeable number, because it can be changed into a prime (2049463447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 768276 + ... + 770938.

Almost surely, 22049463441 is an apocalyptic number.

2049463441 is the 45271-st square number.

2049463441 is the 22636-th centered octagonal number.

It is an amenable number.

2049463441 is a deficient number, since it is larger than the sum of its proper divisors (128466090).

2049463441 is an frugal number, since it uses more digits than its factorization.

2049463441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The cubic root of 2049463441 is about 1270.2232523389.

Multiplying 2049463441 by its product of nonzero digits (82944), we get a square (169990695650304 = 130380482).

The spelling of 2049463441 in words is "two billion, forty-nine million, four hundred sixty-three thousand, four hundred forty-one".

Divisors: 1 17 289 2663 45271 769607 7091569 120556673 2049463441